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Question
From the following observations, calculate the density and relative density of a brine solution.
Mass of empty density bottle = 22 g
Mass of bottle + water = 50 g
Mass of bottle + brine solution = 54 g
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Solution
Mass of empty bottle, M1 = 22 g
Mass of bottle + water, M2 = 50 g
Mass of bottle + brine solution, M3 = 54 g
Mass of water = M2 - M1 =50 - 22 = 28 g
Mass of brine solution = M3 - M1 = 54 - 22 = 32 g
∴ Density of brine solution `= "Mass of brine solution"/"Mass of water"`
`= (32 " g")/(28 "cm"^3)`
= 1.14 g cm-3
∴ Relative density of brine solution = `("M"_3 - "M"_1)/("M"_2 - "M"_1)`
`= (54 - 22)/(50 - 22)`
`= 32/28`
= 1.14
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